Displaying similar documents to “A radical for right near-rings: the right Jacobson radical of type-0.”

On clean ideals.

Chen, Huanyin, Chen, Miaosen (2003)

International Journal of Mathematics and Mathematical Sciences

Similarity:

z⁰-Ideals and some special commutative rings

Karim Samei (2006)

Fundamenta Mathematicae

Similarity:

In a commutative ring R, an ideal I consisting entirely of zero divisors is called a torsion ideal, and an ideal is called a z⁰-ideal if I is torsion and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We prove that in large classes of rings, say R, the following results hold: every z-ideal is a z⁰-ideal if and only if every element of R is either a zero divisor or a unit, if and only if every maximal ideal in R (in general, every prime z-ideal)...